Home
Class 11
MATHS
A point P moves inside a triangle formed...

A point P moves inside a triangle formed by `A(0,0), B(1,sqrt3), C(2,0)` such that `min{PA,PB,PC}=1`, then the area bounded by the curves traced by P is:

Text Solution

Verified by Experts

AB=2,BC=2,AC=2
Area`=sqrt3/4(2)^2-3pi*60/360`
`=sqrt3-pi/2`
Option 2 is correct.
Promotional Banner

Similar Questions

Explore conceptually related problems

A point P moves inside a triangle formed by A(0,0),B(1,sqrt(3)),C(2,0) such that min {PA,PB,PC)=1 , then the area bounded by the curve traced by P, is

A point P moves inside a triangle formed by A(0,0),B(1,sqrt(3)),C(2,0) such that min {PA,PB,PC)=1 , then the area bounded by the curve traced by P, is

A point P moves inside a triangle formed by A(0, 0), B(2, 2sqrt(3) ), C(4, 0) such that {min (PA, PB, PC)} = 2, then the area bounded by the curve traced by P is

the area of triangle formed by the points (0,0) (1,1) and (2,3) is

Let O(0,0),A(2,0),B(1,(1)/(sqrt(3))) distance of P from the side OA is less than its distance from the syme vertices of a triangle.A point P moves inside the triangle.A point P distance of P from the side OA is less than its distance from the sides OB and AB.The area traced by Pis

The area of the triangle formed by the points P(0,1),Q(0,5) and R(3,4) is

A(-9,0),B(-1,0) are two points.If P is a point such that PA:PB=3:1, then the locus of P is

The point P(alpha,alpha +1) will lie inside the triangle whose vertices are A(0,3), B(-2,0) and C(6,1) if